106641562421460 has 96 divisors (see below), whose sum is σ = 325743212721024. Its totient is φ = 25852364032000.

The previous prime is 106641562421441. The next prime is 106641562421479. The reversal of 106641562421460 is 64124265146601.

It is an interprime number because it is at equal distance from previous prime (106641562421441) and next prime (106641562421479).

It is a super-2 number, since 2×106641562421460² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 189350680 + ... + 189913040.

It is an arithmetic number, because the mean of its divisors is an integer number (3393158465844).

Almost surely, 2^{106641562421460} is an apocalyptic number.

106641562421460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106641562421460 is an abundant number, since it is smaller than the sum of its proper divisors (219101650299564).

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

106641562421460 is a wasteful number, since it uses less digits than its factorization.

106641562421460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849705 (or 849703 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 106641562421460 in words is "one hundred six trillion, six hundred forty-one billion, five hundred sixty-two million, four hundred twenty-one thousand, four hundred sixty".