103781952 has 224 divisors, whose sum is σ = 335280000. Its totient is φ = 31352832.

The previous prime is 103781941. The next prime is 103781959. The reversal of 103781952 is 259187301.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (103781959) 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, 952074 + ... + 952182.

Almost surely, 2^103781952 is an apocalyptic number.

103781952 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 103781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167640000).

103781952 is an abundant number, since it is smaller than the sum of its proper divisors (231498048).

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

103781952 is a wasteful number, since it uses less digits than its factorization.

103781952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 103781952 is about 10187.3427349825. The cubic root of 103781952 is about 469.9380512889.

The spelling of 103781952 in words is "one hundred three million, seven hundred eighty-one thousand, nine hundred fifty-two".