101974459023360 has 3240 divisors, whose sum is σ = 469371242790450. Its totient is φ = 21189497978880.

The previous prime is 101974459023331. The next prime is 101974459023377. The reversal of 101974459023360 is 63320954479101.

101974459023360 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 44 + 590 + 2 + 3 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91777013121024 + 10197445902336 = 9580032^2 + 3193344^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a junction number, because it is equal to n+sod(n) for n = 101974459023297 and 101974459023306.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 9270405365755 + ... + 9270405365765.

Almost surely, 2^{101974459023360} is an apocalyptic number.

101974459023360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101974459023360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234685621395225).

101974459023360 is an abundant number, since it is smaller than the sum of its proper divisors (367396783767090).

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

101974459023360 is an frugal number, since it uses more digits than its factorization.

101974459023360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 101974459023360 in words is "one hundred one trillion, nine hundred seventy-four billion, four hundred fifty-nine million, twenty-three thousand, three hundred sixty".