101355936 has 96 divisors (see below), whose sum is σ = 297452736. Its totient is φ = 29952000.

The previous prime is 101355929. The next prime is 101355941. The reversal of 101355936 is 639553101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 101355897 and 101355906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42126 + ... + 44466.

It is an arithmetic number, because the mean of its divisors is an integer number (3098466).

Almost surely, 2^101355936 is an apocalyptic number.

101355936 is a gapful number since it is divisible by the number (16) 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 101355936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148726368).

101355936 is an abundant number, since it is smaller than the sum of its proper divisors (196096800).

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

101355936 is a wasteful number, since it uses less digits than its factorization.

101355936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 101355936 is about 10067.5685247233. The cubic root of 101355936 is about 466.2473712258.

The spelling of 101355936 in words is "one hundred one million, three hundred fifty-five thousand, nine hundred thirty-six".