101723999364 has 405 divisors, whose sum is σ = 304708250847. Its totient is φ = 29577405312.

The previous prime is 101723999347. The next prime is 101723999383. The reversal of 101723999364 is 463999327101.

It is a happy number.

The square root of 101723999364 is 318942.

It is a perfect power (a square), and thus also a powerful number.

101723999364 is a `hidden beast` number, since 101 + 7 + 2 + 399 + 93 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13043924100 + 88680075264 = 114210^2 + 297792^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 101723999364.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2164340389 + ... + 2164340435.

Almost surely, 2^101723999364 is an apocalyptic number.

101723999364 is the 318942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101723999364

101723999364 is an abundant number, since it is smaller than the sum of its proper divisors (202984251483).

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

101723999364 is a wasteful number, since it uses less digits than its factorization.

101723999364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 101723999364 in words is "one hundred one billion, seven hundred twenty-three million, nine hundred ninety-nine thousand, three hundred sixty-four".