105440102500 has 120 divisors (see below), whose sum is σ = 237262551680. Its totient is φ = 40957488000.

The previous prime is 105440102477. The next prime is 105440102513. The reversal of 105440102500 is 5201044501.

It is a super-2 number, since 2×105440102500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79456837 + ... + 79458163.

Almost surely, 2^105440102500 is an apocalyptic number.

105440102500 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 105440102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118631275840).

105440102500 is an abundant number, since it is smaller than the sum of its proper divisors (131822449180).

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

105440102500 is a wasteful number, since it uses less digits than its factorization.

105440102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The spelling of 105440102500 in words is "one hundred five billion, four hundred forty million, one hundred two thousand, five hundred".