102451440 has 160 divisors (see below), whose sum is σ = 390974976. Its totient is φ = 21611520.

The previous prime is 102451429. The next prime is 102451441. The reversal of 102451440 is 44154201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102451441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19495 + ... + 24185.

Almost surely, 2^102451440 is an apocalyptic number.

102451440 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 102451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195487488).

102451440 is an abundant number, since it is smaller than the sum of its proper divisors (288523536).

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

102451440 is a wasteful number, since it uses less digits than its factorization.

102451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 102451440 is about 10121.8298740890. The cubic root of 102451440 is about 467.9211643085.

The spelling of 102451440 in words is "one hundred two million, four hundred fifty-one thousand, four hundred forty".