100964601 has 24 divisors (see below), whose sum is σ = 152989824. Its totient is φ = 64087200.

The previous prime is 100964597. The next prime is 100964609. The reversal of 100964601 is 106469001.

100964601 is a `hidden beast` number, since 10 + 0 + 9 + 646 + 0 + 1 = 666.

It is not a de Polignac number, because 100964601 - 2² = 100964597 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100964609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12426 + ... + 18876.

It is an arithmetic number, because the mean of its divisors is an integer number (6374576).

Almost surely, 2^100964601 is an apocalyptic number.

It is an amenable number.

100964601 is a deficient number, since it is larger than the sum of its proper divisors (52025223).

100964601 is a wasteful number, since it uses less digits than its factorization.

100964601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100964601 is about 10048.1143007034. The cubic root of 100964601 is about 465.6465373339.

The spelling of 100964601 in words is "one hundred million, nine hundred sixty-four thousand, six hundred one".