106442625510 has 48 divisors (see below), whose sum is σ = 298039354704. Its totient is φ = 26201261376.

The previous prime is 106442625479. The next prime is 106442625563. The reversal of 106442625510 is 15526244601.

106442625510 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 42 + 62 + 551 + 0 = 666.

It is a super-2 number, since 2×106442625510² (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 23 ways as a sum of consecutive naturals, for example, 45487132 + ... + 45489471.

It is an arithmetic number, because the mean of its divisors is an integer number (6209153223).

Almost surely, 2^106442625510 is an apocalyptic number.

106442625510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106442625510 is an abundant number, since it is smaller than the sum of its proper divisors (191596729194).

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

106442625510 is a wasteful number, since it uses less digits than its factorization.

106442625510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90976629 (or 90976626 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 1064426 and 25510, that added together give a square (1089936 = 1044²).

The spelling of 106442625510 in words is "one hundred six billion, four hundred forty-two million, six hundred twenty-five thousand, five hundred ten".