100966152 has 128 divisors (see below), whose sum is σ = 310579200. Its totient is φ = 26707968.

The previous prime is 100966147. The next prime is 100966157. The reversal of 100966152 is 251669001.

It is an interprime number because it is at equal distance from previous prime (100966147) and next prime (100966157).

It is not an unprimeable number, because it can be changed into a prime (100966157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149688 + ... + 150360.

It is an arithmetic number, because the mean of its divisors is an integer number (2426400).

Almost surely, 2^100966152 is an apocalyptic number.

100966152 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 100966152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155289600).

100966152 is an abundant number, since it is smaller than the sum of its proper divisors (209613048).

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

100966152 is a wasteful number, since it uses less digits than its factorization.

100966152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 100966152 is about 10048.1914790673. The cubic root of 100966152 is about 465.6489217144.

It can be divided in two parts, 1009 and 66152, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 100966152 in words is "one hundred million, nine hundred sixty-six thousand, one hundred fifty-two".