102914100 has 108 divisors (see below), whose sum is σ = 330564780. Its totient is φ = 26764800.

The previous prime is 102914099. The next prime is 102914111. The reversal of 102914100 is 1419201.

It can be written as a sum of positive squares in 6 ways, for example, as 12702096 + 90212004 = 3564^2 + 9498^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35506 + ... + 38294.

It is an arithmetic number, because the mean of its divisors is an integer number (3060785).

Almost surely, 2^102914100 is an apocalyptic number.

102914100 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 102914100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165282390).

102914100 is an abundant number, since it is smaller than the sum of its proper divisors (227650680).

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

102914100 is a wasteful number, since it uses less digits than its factorization.

102914100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102914100 is about 10144.6586931252. The cubic root of 102914100 is about 468.6244677185.

It can be divided in two parts, 1029 and 14100, that added together give a square (15129 = 123²).

The spelling of 102914100 in words is "one hundred two million, nine hundred fourteen thousand, one hundred".