105536472600 has 384 divisors, whose sum is σ = 380118795840. Its totient is φ = 23987159040.

The previous prime is 105536472593. The next prime is 105536472721. The reversal of 105536472600 is 6274635501.

It is a super-2 number, since 2×105536472600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 7020292 + ... + 7035308.

Almost surely, 2^105536472600 is an apocalyptic number.

105536472600 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 105536472600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190059397920).

105536472600 is an abundant number, since it is smaller than the sum of its proper divisors (274582323240).

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

105536472600 is a wasteful number, since it uses less digits than its factorization.

105536472600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15119 (or 15110 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 105536472600 in words is "one hundred five billion, five hundred thirty-six million, four hundred seventy-two thousand, six hundred".