106200536760 has 48 divisors (see below), whose sum is σ = 345151745640. Its totient is φ = 28320143040.

The previous prime is 106200536707. The next prime is 106200536791. The reversal of 106200536760 is 67635002601.

106200536760 is a `hidden beast` number, since 1 + 0 + 62 + 0 + 0 + 536 + 7 + 60 = 666.

It is a super-2 number, since 2×106200536760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147500386 + ... + 147501105.

Almost surely, 2^106200536760 is an apocalyptic number.

106200536760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106200536760 is an abundant number, since it is smaller than the sum of its proper divisors (238951208880).

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

106200536760 is a wasteful number, since it uses less digits than its factorization.

106200536760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295001508 (or 295001501 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 106200536760 in words is "one hundred six billion, two hundred million, five hundred thirty-six thousand, seven hundred sixty".