101461992 has 32 divisors (see below), whose sum is σ = 260512800. Its totient is φ = 32906304.

The previous prime is 101461979. The next prime is 101462017. The reversal of 101461992 is 299164101.

It is a super-3 number, since 3×101461992³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56242 + ... + 58017.

It is an arithmetic number, because the mean of its divisors is an integer number (8141025).

Almost surely, 2^101461992 is an apocalyptic number.

101461992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101461992 is an abundant number, since it is smaller than the sum of its proper divisors (159050808).

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

101461992 is a wasteful number, since it uses less digits than its factorization.

101461992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114305 (or 114301 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 101461992 is about 10072.8343578161. The cubic root of 101461992 is about 466.4099372482.

The spelling of 101461992 in words is "one hundred one million, four hundred sixty-one thousand, nine hundred ninety-two".