101601090 has 24 divisors (see below), whose sum is σ = 264163068. Its totient is φ = 27093600.

The previous prime is 101601089. The next prime is 101601103. The reversal of 101601090 is 90106101.

It can be written as a sum of positive squares in 2 ways, for example, as 97476129 + 4124961 = 9873^2 + 2031^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564361 + ... + 564540.

Almost surely, 2^101601090 is an apocalyptic number.

101601090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101601090 is an abundant number, since it is smaller than the sum of its proper divisors (162561978).

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

101601090 is a wasteful number, since it uses less digits than its factorization.

101601090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128914 (or 1128911 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 101601090 is about 10079.7366037015. The cubic root of 101601090 is about 466.6229794704.

Adding to 101601090 its reverse (90106101), we get a palindrome (191707191).

The spelling of 101601090 in words is "one hundred one million, six hundred one thousand, ninety".