102158016 has 56 divisors (see below), whose sum is σ = 272094960. Its totient is φ = 33825792.

The previous prime is 102157997. The next prime is 102158033. The reversal of 102158016 is 610851201.

102158016 is nontrivially palindromic in base 7.

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

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, 28450 + ... + 31838.

Almost surely, 2^102158016 is an apocalyptic number.

102158016 is a gapful number since it is divisible by the number (16) 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 102158016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047480).

102158016 is an abundant number, since it is smaller than the sum of its proper divisors (169936944).

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

102158016 is a wasteful number, since it uses less digits than its factorization.

102158016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 102158016 is about 10107.3248686287. The cubic root of 102158016 is about 467.4740237409.

The spelling of 102158016 in words is "one hundred two million, one hundred fifty-eight thousand, sixteen".