109970640 has 240 divisors, whose sum is σ = 411640320. Its totient is φ = 26127360.

The previous prime is 109970633. The next prime is 109970657. The reversal of 109970640 is 46079901.

109970640 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 7 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 109970595 and 109970604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289971 + ... + 290349.

It is an arithmetic number, because the mean of its divisors is an integer number (1715168).

Almost surely, 2^109970640 is an apocalyptic number.

109970640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205820160).

109970640 is an abundant number, since it is smaller than the sum of its proper divisors (301669680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109970640 is a wasteful number, since it uses less digits than its factorization.

109970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109970640 is about 10486.6887052110. The cubic root of 109970640 is about 479.0993527957.

The spelling of 109970640 in words is "one hundred nine million, nine hundred seventy thousand, six hundred forty".