100263164 has 24 divisors (see below), whose sum is σ = 185609760. Its totient is φ = 47291904.

The previous prime is 100263151. The next prime is 100263169. The reversal of 100263164 is 461362001.

100263164 = 87² + 88² + ... + 670².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100263169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 749 + ... + 14180.

It is an arithmetic number, because the mean of its divisors is an integer number (7733740).

Almost surely, 2^100263164 is an apocalyptic number.

It is an amenable number.

100263164 is a deficient number, since it is larger than the sum of its proper divisors (85346596).

100263164 is a wasteful number, since it uses less digits than its factorization.

100263164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15029 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 100263164 is about 10013.1495544609. The cubic root of 100263164 is about 464.5656930721.

The spelling of 100263164 in words is "one hundred million, two hundred sixty-three thousand, one hundred sixty-four".