106021553625 has 48 divisors (see below), whose sum is σ = 205823204496. Its totient is φ = 52195219200.

The previous prime is 106021553593. The next prime is 106021553629. The reversal of 106021553625 is 526355120601.

106021553625 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 21 + 5 + 5 + 3 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48986083584 + 57035470041 = 221328^2 + 238821^2 .

It is not a de Polignac number, because 106021553625 - 2⁵ = 106021553593 is a prime.

It is a super-2 number, since 2×106021553625² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106021553625.

It is not an unprimeable number, because it can be changed into a prime (106021553629) 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, 3610044 + ... + 3639293.

It is an arithmetic number, because the mean of its divisors is an integer number (4287983427).

Almost surely, 2^106021553625 is an apocalyptic number.

106021553625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106021553625 is a deficient number, since it is larger than the sum of its proper divisors (99801650871).

106021553625 is a wasteful number, since it uses less digits than its factorization.

106021553625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249371 (or 7249358 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 106021553625 in words is "one hundred six billion, twenty-one million, five hundred fifty-three thousand, six hundred twenty-five".