101572000 has 96 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 39916800.

The previous prime is 101571973. The next prime is 101572001. The reversal of 101572000 is 275101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101572001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267811 + ... + 268189.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^101572000 is an apocalyptic number.

101572000 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 101572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

101572000 is an abundant number, since it is smaller than the sum of its proper divisors (152383520).

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

101572000 is an equidigital number, since it uses as much as digits as its factorization.

101572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 101572000 is about 10078.2935063432. The cubic root of 101572000 is about 466.5784413716.

The spelling of 101572000 in words is "one hundred one million, five hundred seventy-two thousand".