101672064 has 256 divisors, whose sum is σ = 338150400. Its totient is φ = 29859840.

The previous prime is 101672017. The next prime is 101672069. The reversal of 101672064 is 460276101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (101672069) 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, 1392732 + ... + 1392804.

It is an arithmetic number, because the mean of its divisors is an integer number (1320900).

Almost surely, 2^101672064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169075200).

101672064 is an abundant number, since it is smaller than the sum of its proper divisors (236478336).

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

101672064 is a wasteful number, since it uses less digits than its factorization.

101672064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 101672064 is about 10083.2566167881. The cubic root of 101672064 is about 466.7316081959.

The spelling of 101672064 in words is "one hundred one million, six hundred seventy-two thousand, sixty-four".