102970840 has 64 divisors (see below), whose sum is σ = 273346560. Its totient is φ = 34162560.

The previous prime is 102970837. The next prime is 102970859. The reversal of 102970840 is 48079201.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2749 + ... + 14611.

It is an arithmetic number, because the mean of its divisors is an integer number (4271040).

Almost surely, 2^102970840 is an apocalyptic number.

102970840 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 102970840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136673280).

102970840 is an abundant number, since it is smaller than the sum of its proper divisors (170375720).

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

102970840 is a wasteful number, since it uses less digits than its factorization.

102970840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11912 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 102970840 is about 10147.4548533117. The cubic root of 102970840 is about 468.7105746990.

The spelling of 102970840 in words is "one hundred two million, nine hundred seventy thousand, eight hundred forty".