102692640 has 48 divisors (see below), whose sum is σ = 323483328. Its totient is φ = 27384576.

The previous prime is 102692621. The next prime is 102692669. The reversal of 102692640 is 46296201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102692598 and 102692607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106492 + ... + 107451.

It is an arithmetic number, because the mean of its divisors is an integer number (6739236).

Almost surely, 2^102692640 is an apocalyptic number.

102692640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102692640 is an abundant number, since it is smaller than the sum of its proper divisors (220790688).

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

102692640 is a wasteful number, since it uses less digits than its factorization.

102692640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213961 (or 213953 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 102692640 is about 10133.7377112298. The cubic root of 102692640 is about 468.2880832776.

The spelling of 102692640 in words is "one hundred two million, six hundred ninety-two thousand, six hundred forty".