101951136 has 144 divisors (see below), whose sum is σ = 343796544. Its totient is φ = 29113344.

The previous prime is 101951119. The next prime is 101951137. The reversal of 101951136 is 631159101.

It is a tau number, because it is divible by the number of its divisors (144).

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 (101951137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53496 + ... + 55368.

It is an arithmetic number, because the mean of its divisors is an integer number (2387476).

Almost surely, 2^101951136 is an apocalyptic number.

101951136 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 101951136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171898272).

101951136 is an abundant number, since it is smaller than the sum of its proper divisors (241845408).

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

101951136 is an equidigital number, since it uses as much as digits as its factorization.

101951136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 101951136 is about 10097.0855200894. The cubic root of 101951136 is about 467.1582502413.

The spelling of 101951136 in words is "one hundred one million, nine hundred fifty-one thousand, one hundred thirty-six".