105997802432500 has 120 divisors (see below), whose sum is σ = 252929430673920. Its totient is φ = 38535346080000.

The previous prime is 105997802432497. The next prime is 105997802432629. The reversal of 105997802432500 is 5234208799501.

It is a super-2 number, since 2×105997802432500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

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, 113909112 + ... + 114835888.

It is an arithmetic number, because the mean of its divisors is an integer number (2107745255616).

Almost surely, 2^{105997802432500} is an apocalyptic number.

105997802432500 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 105997802432500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126464715336960).

105997802432500 is an abundant number, since it is smaller than the sum of its proper divisors (146931628241420).

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

105997802432500 is a wasteful number, since it uses less digits than its factorization.

105997802432500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930971 (or 930954 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 105997802432500 in words is "one hundred five trillion, nine hundred ninety-seven billion, eight hundred two million, four hundred thirty-two thousand, five hundred".