103972140 has 96 divisors (see below), whose sum is σ = 333957120. Its totient is φ = 26827200.

The previous prime is 103972133. The next prime is 103972147. The reversal of 103972140 is 41279301.

It is an interprime number because it is at equal distance from previous prime (103972133) and next prime (103972147).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (103972147) 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, 13635 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (3478720).

Almost surely, 2^103972140 is an apocalyptic number.

103972140 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 103972140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166978560).

103972140 is an abundant number, since it is smaller than the sum of its proper divisors (229984980).

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

103972140 is a wasteful number, since it uses less digits than its factorization.

103972140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6260 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 103972140 is about 10196.6729868129. The cubic root of 103972140 is about 470.2249413680.

The spelling of 103972140 in words is "one hundred three million, nine hundred seventy-two thousand, one hundred forty".