102292437520 has 80 divisors (see below), whose sum is σ = 292713765120. Its totient is φ = 32373868032.

The previous prime is 102292437497. The next prime is 102292437613. The reversal of 102292437520 is 25734292201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102292437520.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7018300 + ... + 7032859.

It is an arithmetic number, because the mean of its divisors is an integer number (3658922064).

Almost surely, 2^102292437520 is an apocalyptic number.

102292437520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102292437520 is an abundant number, since it is smaller than the sum of its proper divisors (190421327600).

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

102292437520 is a wasteful number, since it uses less digits than its factorization.

102292437520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051192 (or 14051186 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 102292437520 in words is "one hundred two billion, two hundred ninety-two million, four hundred thirty-seven thousand, five hundred twenty".