101456145 has 96 divisors (see below), whose sum is σ = 212459520. Its totient is φ = 45489600.

The previous prime is 101456141. The next prime is 101456171. The reversal of 101456145 is 541654101.

101456145 is a `hidden beast` number, since 1 + 0 + 1 + 45 + 614 + 5 = 666.

It is not a de Polignac number, because 101456145 - 2² = 101456141 is a prime.

It is a super-2 number, since 2×101456145² = 20586698716522050, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101456141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 671820 + ... + 671970.

It is an arithmetic number, because the mean of its divisors is an integer number (2213120).

Almost surely, 2^101456145 is an apocalyptic number.

101456145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101456145 is an abundant number, since it is smaller than the sum of its proper divisors (111003375).

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

101456145 is an equidigital number, since it uses as much as digits as its factorization.

101456145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 101456145 is about 10072.5441175504. The cubic root of 101456145 is about 466.4009777314.

It can be divided in two parts, 10145 and 6145, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 101456145 in words is "one hundred one million, four hundred fifty-six thousand, one hundred forty-five".