106251205500 has 144 divisors (see below), whose sum is σ = 365658864480. Its totient is φ = 25757856000.

The previous prime is 106251205483. The next prime is 106251205573. The reversal of 106251205500 is 5502152601.

106251205500 is a `hidden beast` number, since 1 + 0 + 62 + 51 + 2 + 0 + 550 + 0 = 666.

It is a super-2 number, since 2×106251205500² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1023745 + ... + 1122744.

It is an arithmetic number, because the mean of its divisors is an integer number (2539297670).

Almost surely, 2^106251205500 is an apocalyptic number.

106251205500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106251205500 is an abundant number, since it is smaller than the sum of its proper divisors (259407658980).

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

106251205500 is a wasteful number, since it uses less digits than its factorization.

106251205500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146525 (or 2146510 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 106251205500 in words is "one hundred six billion, two hundred fifty-one million, two hundred five thousand, five hundred".