102804072 has 64 divisors (see below), whose sum is σ = 303868800. Its totient is φ = 28358400.

The previous prime is 102804067. The next prime is 102804077. The reversal of 102804072 is 270408201.

It is an interprime number because it is at equal distance from previous prime (102804067) and next prime (102804077).

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

It is not an unprimeable number, because it can be changed into a prime (102804077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5679 + ... + 15422.

It is an arithmetic number, because the mean of its divisors is an integer number (4747950).

Almost surely, 2^102804072 is an apocalyptic number.

102804072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102804072 is an abundant number, since it is smaller than the sum of its proper divisors (201064728).

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

102804072 is a wasteful number, since it uses less digits than its factorization.

102804072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21146 (or 21142 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 102804072 is about 10139.2342906158. The cubic root of 102804072 is about 468.4574021781.

It can be divided in two parts, 10 and 2804072, that added together give a palindrome (2804082).

The spelling of 102804072 in words is "one hundred two million, eight hundred four thousand, seventy-two".