105602475000 has 384 divisors, whose sum is σ = 378988243200. Its totient is φ = 24249600000.

The previous prime is 105602474983. The next prime is 105602475023. The reversal of 105602475000 is 574206501.

It is a super-2 number, since 2×105602475000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 15671632 + ... + 15678368.

It is an arithmetic number, because the mean of its divisors is an integer number (986948550).

Almost surely, 2^105602475000 is an apocalyptic number.

105602475000 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 105602475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189494121600).

105602475000 is an abundant number, since it is smaller than the sum of its proper divisors (273385768200).

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

105602475000 is a wasteful number, since it uses less digits than its factorization.

105602475000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6801 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 105602475000 in words is "one hundred five billion, six hundred two million, four hundred seventy-five thousand".