102854640 has 80 divisors (see below), whose sum is σ = 364405248. Its totient is φ = 23509248.

The previous prime is 102854639. The next prime is 102854651. The reversal of 102854640 is 46458201.

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

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 = 102854598 and 102854607.

It is a congruent number.

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, 28932 + ... + 32291.

Almost surely, 2^102854640 is an apocalyptic number.

102854640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102854640 is an abundant number, since it is smaller than the sum of its proper divisors (261550608).

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

102854640 is a wasteful number, since it uses less digits than its factorization.

102854640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61246 (or 61240 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 102854640 is about 10141.7276634704. The cubic root of 102854640 is about 468.5341989768.

The spelling of 102854640 in words is "one hundred two million, eight hundred fifty-four thousand, six hundred forty".