103167972 has 96 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 32060160.

The previous prime is 103167971. The next prime is 103167979. The reversal of 103167972 is 279761301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103167971) 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, 101338 + ... + 102350.

It is an arithmetic number, because the mean of its divisors is an integer number (2981160).

Almost surely, 2^103167972 is an apocalyptic number.

103167972 is a gapful number since it is divisible by the number (12) 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 103167972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

103167972 is an abundant number, since it is smaller than the sum of its proper divisors (183023388).

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

103167972 is a wasteful number, since it uses less digits than its factorization.

103167972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 103167972 is about 10157.1635804490. The cubic root of 103167972 is about 469.0094908844.

The spelling of 103167972 in words is "one hundred three million, one hundred sixty-seven thousand, nine hundred seventy-two".