101545920 has 448 divisors, whose sum is σ = 433059840. Its totient is φ = 21897216.

The previous prime is 101545909. The next prime is 101545921. The reversal of 101545920 is 29545101.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101545921) 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 63 ways as a sum of consecutive naturals, for example, 1391004 + ... + 1391076.

Almost surely, 2^101545920 is an apocalyptic number.

101545920 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 101545920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216529920).

101545920 is an abundant number, since it is smaller than the sum of its proper divisors (331513920).

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

101545920 is a wasteful number, since it uses less digits than its factorization.

101545920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 101545920 is about 10076.9995534385. Note that the first 3 decimals coincide. The cubic root of 101545920 is about 466.5385044882.

The spelling of 101545920 in words is "one hundred one million, five hundred forty-five thousand, nine hundred twenty".