89972106 has 64 divisors (see below), whose sum is σ = 223518720. Its totient is φ = 23561280.

The previous prime is 89972101. The next prime is 89972107. The reversal of 89972106 is 60127998.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (89972101) 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, 22920 + ... + 26556.

It is an arithmetic number, because the mean of its divisors is an integer number (3492480).

Almost surely, 2^89972106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89972106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111759360).

89972106 is an abundant number, since it is smaller than the sum of its proper divisors (133546614).

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

89972106 is a wasteful number, since it uses less digits than its factorization.

89972106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 89972106 is about 9485.3627236917. The cubic root of 89972106 is about 448.0941719814.

The spelling of 89972106 in words is "eighty-nine million, nine hundred seventy-two thousand, one hundred six".