107001504 has 72 divisors (see below), whose sum is σ = 305978400. Its totient is φ = 35468928.

The previous prime is 107001487. The next prime is 107001509. The reversal of 107001504 is 405100701.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×107001504² = 22898643716524032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (107001509) 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 11 ways as a sum of consecutive naturals, for example, 56379 + ... + 58245.

It is an arithmetic number, because the mean of its divisors is an integer number (4249700).

Almost surely, 2^107001504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107001504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152989200).

107001504 is an abundant number, since it is smaller than the sum of its proper divisors (198976896).

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

107001504 is a wasteful number, since it uses less digits than its factorization.

107001504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107001504 is about 10344.1531311171. The cubic root of 107001504 is about 474.7481641967.

The spelling of 107001504 in words is "one hundred seven million, one thousand, five hundred four".