102074400 has 108 divisors (see below), whose sum is σ = 359965242. Its totient is φ = 27217920.

The previous prime is 102074383. The next prime is 102074417. The reversal of 102074400 is 4470201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102074383) and next prime (102074417).

It can be written as a sum of positive squares in 3 ways, for example, as 98962704 + 3111696 = 9948^2 + 1764^2 .

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 17 ways as a sum of consecutive naturals, for example, 112 + ... + 14288.

Almost surely, 2^102074400 is an apocalyptic number.

102074400 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 102074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179982621).

102074400 is an abundant number, since it is smaller than the sum of its proper divisors (257890842).

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

102074400 is a wasteful number, since it uses less digits than its factorization.

102074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14203 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102074400 is about 10103.1876157973. The cubic root of 102074400 is about 467.3464469440.

The spelling of 102074400 in words is "one hundred two million, seventy-four thousand, four hundred".