103087920 has 320 divisors, whose sum is σ = 379975680. Its totient is φ = 22892544.

The previous prime is 103087913. The next prime is 103087951. The reversal of 103087920 is 29780301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2193337 + ... + 2193383.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^103087920 is an apocalyptic number.

103087920 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 103087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

103087920 is an abundant number, since it is smaller than the sum of its proper divisors (276887760).

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

103087920 is a wasteful number, since it uses less digits than its factorization.

103087920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 103087920 is about 10153.2221486580. Note that the first 3 decimals coincide. The cubic root of 103087920 is about 468.8881519904. Note that the first 3 decimals are identical.

The spelling of 103087920 in words is "one hundred three million, eighty-seven thousand, nine hundred twenty".