106542373754460 has 96 divisors (see below), whose sum is σ = 340944293652480. Its totient is φ = 24351921312768.

The previous prime is 106542373754407. The next prime is 106542373754483. The reversal of 106542373754460 is 64457373245601.

It is a happy number.

It is a super-2 number, since 2×106542373754460² (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 106542373754460.

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, 13348372 + ... + 19780388.

It is an arithmetic number, because the mean of its divisors is an integer number (3551503058880).

Almost surely, 2^{106542373754460} is an apocalyptic number.

106542373754460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106542373754460 is an abundant number, since it is smaller than the sum of its proper divisors (234401919898020).

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

106542373754460 is a wasteful number, since it uses less digits than its factorization.

106542373754460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471475 (or 6471473 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 57.

The spelling of 106542373754460 in words is "one hundred six trillion, five hundred forty-two billion, three hundred seventy-three million, seven hundred fifty-four thousand, four hundred sixty".