106201145460 has 96 divisors (see below), whose sum is σ = 299198390400. Its totient is φ = 28145733120.

The previous prime is 106201145419. The next prime is 106201145503. The reversal of 106201145460 is 64541102601.

It is a super-2 number, since 2×106201145460² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30612606 + ... + 30616074.

It is an arithmetic number, because the mean of its divisors is an integer number (3116649900).

Almost surely, 2^106201145460 is an apocalyptic number.

106201145460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106201145460 is an abundant number, since it is smaller than the sum of its proper divisors (192997244940).

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

106201145460 is a wasteful number, since it uses less digits than its factorization.

106201145460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6479 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 106201145460 in words is "one hundred six billion, two hundred one million, one hundred forty-five thousand, four hundred sixty".