101951118 has 24 divisors (see below), whose sum is σ = 225064008. Its totient is φ = 33342192.

The previous prime is 101951099. The next prime is 101951119. The reversal of 101951118 is 811159101.

It is a super-2 number, since 2×101951118² = 20788060922899848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101951091 and 101951100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101951119) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 52480 + ... + 54387.

It is an arithmetic number, because the mean of its divisors is an integer number (9377667).

Almost surely, 2^101951118 is an apocalyptic number.

101951118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101951118 is an abundant number, since it is smaller than the sum of its proper divisors (123112890).

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

101951118 is a wasteful number, since it uses less digits than its factorization.

101951118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106928 (or 106925 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 27.

The square root of 101951118 is about 10097.0846287431. The cubic root of 101951118 is about 467.1582227482.

The spelling of 101951118 in words is "one hundred one million, nine hundred fifty-one thousand, one hundred eighteen".