102137640 has 64 divisors (see below), whose sum is σ = 334272960. Its totient is φ = 24760320.

The previous prime is 102137639. The next prime is 102137657. The reversal of 102137640 is 46731201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102137640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37369 + ... + 40008.

It is an arithmetic number, because the mean of its divisors is an integer number (5223015).

Almost surely, 2^102137640 is an apocalyptic number.

102137640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102137640 is an abundant number, since it is smaller than the sum of its proper divisors (232135320).

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

102137640 is a wasteful number, since it uses less digits than its factorization.

102137640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77402 (or 77398 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 102137640 is about 10106.3168365137. The cubic root of 102137640 is about 467.4429415526.

Adding to 102137640 its reverse (46731201), we get a palindrome (148868841).

The spelling of 102137640 in words is "one hundred two million, one hundred thirty-seven thousand, six hundred forty".