105602112000 has 960 divisors, whose sum is σ = 474412992768. Its totient is φ = 21934080000.

The previous prime is 105602111981. The next prime is 105602112019. The reversal of 105602112000 is 211206501.

It is an interprime number because it is at equal distance from previous prime (105602111981) and next prime (105602112019).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×105602112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44350810 + ... + 44353190.

Almost surely, 2^105602112000 is an apocalyptic number.

105602112000 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 105602112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237206496384).

105602112000 is an abundant number, since it is smaller than the sum of its proper divisors (368810880768).

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

105602112000 is a wasteful number, since it uses less digits than its factorization.

105602112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 105602112000 its reverse (211206501), we get a palindrome (105813318501).

The spelling of 105602112000 in words is "one hundred five billion, six hundred two million, one hundred twelve thousand".