102047400 has 432 divisors, whose sum is σ = 434151900. Its totient is φ = 21288960.

The previous prime is 102047383. The next prime is 102047417. The reversal of 102047400 is 4740201.

102047400 = T₂₀₃ + T₂₀₄ + ... + T₈₅₂.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102047383) and next prime (102047417).

It can be written as a sum of positive squares in 6 ways, for example, as 7918596 + 94128804 = 2814^2 + 9702^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1146556 + ... + 1146644.

Almost surely, 2^102047400 is an apocalyptic number.

102047400 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 102047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217075950).

102047400 is an abundant number, since it is smaller than the sum of its proper divisors (332104500).

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

102047400 is a wasteful number, since it uses less digits than its factorization.

102047400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

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

The square root of 102047400 is about 10101.8513154768. The cubic root of 102047400 is about 467.3052369155.

Adding to 102047400 its reverse (4740201), we get a palindrome (106787601).

The spelling of 102047400 in words is "one hundred two million, forty-seven thousand, four hundred".