102867835680 has 480 divisors, whose sum is σ = 381898395648. Its totient is φ = 26040268800.

The previous prime is 102867835661. The next prime is 102867835709. The reversal of 102867835680 is 86538768201.

102867835680 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 6 + 78 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21290865 + ... + 21295695.

Almost surely, 2^102867835680 is an apocalyptic number.

102867835680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102867835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190949197824).

102867835680 is an abundant number, since it is smaller than the sum of its proper divisors (279030559968).

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

102867835680 is a wasteful number, since it uses less digits than its factorization.

102867835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4942 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 102867835680 in words is "one hundred two billion, eight hundred sixty-seven million, eight hundred thirty-five thousand, six hundred eighty".