103072970 has 96 divisors (see below), whose sum is σ = 253725696. Its totient is φ = 29635200.

The previous prime is 103072951. The next prime is 103072973. The reversal of 103072970 is 79270301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103072973) 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 47 ways as a sum of consecutive naturals, for example, 69335 + ... + 70805.

It is an arithmetic number, because the mean of its divisors is an integer number (2642976).

Almost surely, 2^103072970 is an apocalyptic number.

103072970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103072970 is an abundant number, since it is smaller than the sum of its proper divisors (150652726).

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

103072970 is a wasteful number, since it uses less digits than its factorization.

103072970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 103072970 is about 10152.4859024773. The cubic root of 103072970 is about 468.8654845535.

The spelling of 103072970 in words is "one hundred three million, seventy-two thousand, nine hundred seventy".