101992914 has 48 divisors (see below), whose sum is σ = 233026560. Its totient is φ = 32192640.

The previous prime is 101992907. The next prime is 101992921. The reversal of 101992914 is 419299101.

101992914 = T₁₂ + T₁₃ + ... + T₈₄₈.

It is an interprime number because it is at equal distance from previous prime (101992907) and next prime (101992921).

It is a super-2 number, since 2×101992914² = 20805109012422792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24282 + ... + 28170.

It is an arithmetic number, because the mean of its divisors is an integer number (4854720).

Almost surely, 2^101992914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101992914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116513280).

101992914 is an abundant number, since it is smaller than the sum of its proper divisors (131033646).

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

101992914 is a wasteful number, since it uses less digits than its factorization.

101992914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 101992914 is about 10099.1541229947. The cubic root of 101992914 is about 467.2220529375. Note that the first 3 decimals are identical.

The spelling of 101992914 in words is "one hundred one million, nine hundred ninety-two thousand, nine hundred fourteen".