101398065408 has 90 divisors (see below), whose sum is σ = 302350745774. Its totient is φ = 33799348224.

The previous prime is 101398065401. The next prime is 101398065463. The reversal of 101398065408 is 804560893101.

101398065408 is a `hidden beast` number, since 1 + 0 + 13 + 98 + 0 + 6 + 540 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65921589504 + 35476475904 = 256752^2 + 188352^2 .

It is not an unprimeable number, because it can be changed into a prime (101398065401) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2424241 + ... + 2465712.

Almost surely, 2^101398065408 is an apocalyptic number.

101398065408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101398065408 is an abundant number, since it is smaller than the sum of its proper divisors (200952680366).

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

101398065408 is an frugal number, since it uses more digits than its factorization.

101398065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4889981 (or 4889958 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 101398065408 in words is "one hundred one billion, three hundred ninety-eight million, sixty-five thousand, four hundred eight".