101451150405 has 128 divisors (see below), whose sum is σ = 207426355200. Its totient is φ = 46587916800.

The previous prime is 101451150379. The next prime is 101451150407. The reversal of 101451150405 is 504051154101.

101451150405 is a `hidden beast` number, since 1 + 0 + 145 + 11 + 504 + 0 + 5 = 666.

It is not a de Polignac number, because 101451150405 - 2⁷ = 101451150277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101451150407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2140201 + ... + 2187089.

It is an arithmetic number, because the mean of its divisors is an integer number (1620518400).

Almost surely, 2^101451150405 is an apocalyptic number.

101451150405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101451150405 is an abundant number, since it is smaller than the sum of its proper divisors (105975204795).

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

101451150405 is a wasteful number, since it uses less digits than its factorization.

101451150405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46992 (or 46986 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 101451150405 in words is "one hundred one billion, four hundred fifty-one million, one hundred fifty thousand, four hundred five".