102574640 has 120 divisors (see below), whose sum is σ = 280910592. Its totient is φ = 34728960.

The previous prime is 102574639. The next prime is 102574649. The reversal of 102574640 is 46475201.

It is a super-2 number, since 2×102574640² = 21043113542259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102574649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 536945 + ... + 537135.

Almost surely, 2^102574640 is an apocalyptic number.

102574640 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 102574640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140455296).

102574640 is an abundant number, since it is smaller than the sum of its proper divisors (178335952).

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

102574640 is a wasteful number, since it uses less digits than its factorization.

102574640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 102574640 is about 10127.9139016878. The cubic root of 102574640 is about 468.1086508396.

The spelling of 102574640 in words is "one hundred two million, five hundred seventy-four thousand, six hundred forty".