106055010500 has 48 divisors (see below), whose sum is σ = 231661296048. Its totient is φ = 42415200000.

The previous prime is 106055010487. The next prime is 106055010517. The reversal of 106055010500 is 5010550601.

It can be written as a sum of positive squares in 8 ways, for example, as 10786484164 + 95268526336 = 103858^2 + 308656^2 .

It is a super-2 number, since 2×106055010500² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4097600 + ... + 4123400.

It is an arithmetic number, because the mean of its divisors is an integer number (4826277001).

Almost surely, 2^106055010500 is an apocalyptic number.

106055010500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106055010500 is an abundant number, since it is smaller than the sum of its proper divisors (125606285548).

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

106055010500 is a wasteful number, since it uses less digits than its factorization.

106055010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34041 (or 34029 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 106055010500 in words is "one hundred six billion, fifty-five million, ten thousand, five hundred".