106259656500 has 144 divisors (see below), whose sum is σ = 352856911680. Its totient is φ = 26844523200.

The previous prime is 106259656483. The next prime is 106259656501. The reversal of 106259656500 is 5656952601.

106259656500 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 5 + 96 + 56 + 500 = 666.

It is a super-2 number, since 2×106259656500² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106259656501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 535902 + ... + 706901.

It is an arithmetic number, because the mean of its divisors is an integer number (2450395220).

Almost surely, 2^106259656500 is an apocalyptic number.

106259656500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106259656500 is an abundant number, since it is smaller than the sum of its proper divisors (246597255180).

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

106259656500 is a wasteful number, since it uses less digits than its factorization.

106259656500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242847 (or 1242832 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 106259656500 in words is "one hundred six billion, two hundred fifty-nine million, six hundred fifty-six thousand, five hundred".