100473768 has 24 divisors (see below), whose sum is σ = 272116650. Its totient is φ = 33491232.

The previous prime is 100473727. The next prime is 100473781. The reversal of 100473768 is 867374001.

It can be written as a sum of positive squares in only one way, i.e., 63968004 + 36505764 = 7998^2 + 6042^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×100473768² = 20189956112235648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 697663 + ... + 697806.

Almost surely, 2^100473768 is an apocalyptic number.

100473768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100473768 is an abundant number, since it is smaller than the sum of its proper divisors (171642882).

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

100473768 is a wasteful number, since it uses less digits than its factorization.

100473768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395481 (or 1395474 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 100473768 is about 10023.6604092517. The cubic root of 100473768 is about 464.8907408925.

The spelling of 100473768 in words is "one hundred million, four hundred seventy-three thousand, seven hundred sixty-eight".