101584090 has 16 divisors (see below), whose sum is σ = 183157920. Its totient is φ = 40565520.

The previous prime is 101584057. The next prime is 101584097. The reversal of 101584090 is 90485101.

It is a happy number.

It is a super-2 number, since 2×101584090² = 20638654682256200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101584097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2016 + ... + 14395.

It is an arithmetic number, because the mean of its divisors is an integer number (11447370).

Almost surely, 2^101584090 is an apocalyptic number.

101584090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101584090 is a deficient number, since it is larger than the sum of its proper divisors (81573830).

101584090 is a wasteful number, since it uses less digits than its factorization.

101584090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17037.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 101584090 is about 10078.8932924206. The cubic root of 101584090 is about 466.5969527381.

The spelling of 101584090 in words is "one hundred one million, five hundred eighty-four thousand, ninety".