102619872 has 168 divisors, whose sum is σ = 312344424. Its totient is φ = 33156864.

The previous prime is 102619787. The next prime is 102619879. The reversal of 102619872 is 278916201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102619879) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1236343 + ... + 1236425.

It is an arithmetic number, because the mean of its divisors is an integer number (1859193).

Almost surely, 2^102619872 is an apocalyptic number.

102619872 is a gapful number since it is divisible by the number (12) 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 102619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156172212).

102619872 is an abundant number, since it is smaller than the sum of its proper divisors (209724552).

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

102619872 is an frugal number, since it uses more digits than its factorization.

102619872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 102619872 is about 10130.1466919290. The cubic root of 102619872 is about 468.1774475032.

The spelling of 102619872 in words is "one hundred two million, six hundred nineteen thousand, eight hundred seventy-two".