101941152 has 96 divisors (see below), whose sum is σ = 282102912. Its totient is φ = 32169984.

The previous prime is 101941141. The next prime is 101941153. The reversal of 101941152 is 251149101.

It is a happy number.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (101941153) 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, 302328 + ... + 302664.

It is an arithmetic number, because the mean of its divisors is an integer number (2938572).

Almost surely, 2^101941152 is an apocalyptic number.

101941152 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 101941152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141051456).

101941152 is an abundant number, since it is smaller than the sum of its proper divisors (180161760).

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

101941152 is a wasteful number, since it uses less digits than its factorization.

101941152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The square root of 101941152 is about 10096.5911078938. The cubic root of 101941152 is about 467.1430002551.

The spelling of 101941152 in words is "one hundred one million, nine hundred forty-one thousand, one hundred fifty-two".