101355432 has 64 divisors (see below), whose sum is σ = 262254720. Its totient is φ = 32617728.

The previous prime is 101355421. The next prime is 101355433. The reversal of 101355432 is 234553101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101355433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139053 + ... + 139779.

It is an arithmetic number, because the mean of its divisors is an integer number (4097730).

Almost surely, 2^101355432 is an apocalyptic number.

101355432 is a gapful number since it is divisible by the number (12) 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 101355432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131127360).

101355432 is an abundant number, since it is smaller than the sum of its proper divisors (160899288).

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

101355432 is a wasteful number, since it uses less digits than its factorization.

101355432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 101355432 is about 10067.5434938221. The cubic root of 101355432 is about 466.2465984078.

The spelling of 101355432 in words is "one hundred one million, three hundred fifty-five thousand, four hundred thirty-two".