103442976 has 144 divisors (see below), whose sum is σ = 362142144. Its totient is φ = 27274752.

The previous prime is 103442923. The next prime is 103442981. The reversal of 103442976 is 679244301.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103442976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24235 + ... + 28181.

It is an arithmetic number, because the mean of its divisors is an integer number (2514876).

Almost surely, 2^103442976 is an apocalyptic number.

103442976 is a gapful number since it is divisible by the number (16) 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 103442976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181071072).

103442976 is an abundant number, since it is smaller than the sum of its proper divisors (258699168).

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

103442976 is a wasteful number, since it uses less digits than its factorization.

103442976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3983 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 103442976 is about 10170.6920118545. The cubic root of 103442976 is about 469.4258508929.

The spelling of 103442976 in words is "one hundred three million, four hundred forty-two thousand, nine hundred seventy-six".