105638080 has 112 divisors (see below), whose sum is σ = 271540224. Its totient is φ = 39029760.

The previous prime is 105638077. The next prime is 105638083. The reversal of 105638080 is 80836501.

It is an interprime number because it is at equal distance from previous prime (105638077) and next prime (105638083).

It is a super-2 number, since 2×105638080² = 22318807892172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (105638083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227929 + ... + 228391.

Almost surely, 2^105638080 is an apocalyptic number.

105638080 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 105638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135770112).

105638080 is an abundant number, since it is smaller than the sum of its proper divisors (165902144).

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

105638080 is a wasteful number, since it uses less digits than its factorization.

105638080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105638080 is about 10278.0387234141. The cubic root of 105638080 is about 472.7231088032.

The spelling of 105638080 in words is "one hundred five million, six hundred thirty-eight thousand, eighty".