100061952 has 72 divisors (see below), whose sum is σ = 268900464. Its totient is φ = 33030144.

The previous prime is 100061939. The next prime is 100061957. The reversal of 100061952 is 259160001.

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 (100061957) 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 7 ways as a sum of consecutive naturals, for example, 86208 + ... + 87360.

Almost surely, 2^100061952 is an apocalyptic number.

100061952 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 100061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134450232).

100061952 is an abundant number, since it is smaller than the sum of its proper divisors (168838512).

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

100061952 is a wasteful number, since it uses less digits than its factorization.

100061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 100061952 is about 10003.0971203923. The cubic root of 100061952 is about 464.2547154778.

The spelling of 100061952 in words is "one hundred million, sixty-one thousand, nine hundred fifty-two".