100151920 has 40 divisors (see below), whose sum is σ = 254023920. Its totient is φ = 36418560.

The previous prime is 100151911. The next prime is 100151923. The reversal of 100151920 is 29151001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100151923) 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, 56025 + ... + 57784.

It is an arithmetic number, because the mean of its divisors is an integer number (6350598).

Almost surely, 2^100151920 is an apocalyptic number.

100151920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100151920 is an abundant number, since it is smaller than the sum of its proper divisors (153872000).

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

100151920 is a wasteful number, since it uses less digits than its factorization.

100151920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113833 (or 113827 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 19.

The square root of 100151920 is about 10007.5931172285. The cubic root of 100151920 is about 464.3938144908.

It can be divided in two parts, 10015 and 1920, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 100151920 in words is "one hundred million, one hundred fifty-one thousand, nine hundred twenty".