100679040 has 384 divisors, whose sum is σ = 435352320. Its totient is φ = 20828160.

The previous prime is 100679021. The next prime is 100679057. The reversal of 100679040 is 40976001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 100678995 and 100679013.

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, 443407 + ... + 443633.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^100679040 is an apocalyptic number.

100679040 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 100679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217676160).

100679040 is an abundant number, since it is smaller than the sum of its proper divisors (334673280).

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

100679040 is a wasteful number, since it uses less digits than its factorization.

100679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100679040 is about 10033.8945579471. The cubic root of 100679040 is about 465.2071224358.

The spelling of 100679040 in words is "one hundred million, six hundred seventy-nine thousand, forty".