106131452653516 has 48 divisors (see below), whose sum is σ = 187666490964960. Its totient is φ = 52513010035200.

The previous prime is 106131452653483. The next prime is 106131452653529. The reversal of 106131452653516 is 615356254131601.

It is a super-2 number, since 2×106131452653516² (a number of 29 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 106131452653516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12034404555 + ... + 12034413373.

It is an arithmetic number, because the mean of its divisors is an integer number (3909718561770).

Almost surely, 2^{106131452653516} is an apocalyptic number.

It is an amenable number.

106131452653516 is a deficient number, since it is larger than the sum of its proper divisors (81535038311444).

106131452653516 is a wasteful number, since it uses less digits than its factorization.

106131452653516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21034 (or 21032 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 49.

The spelling of 106131452653516 in words is "one hundred six trillion, one hundred thirty-one billion, four hundred fifty-two million, six hundred fifty-three thousand, five hundred sixteen".