101051172 has 48 divisors (see below), whose sum is σ = 265164480. Its totient is φ = 33274944.

The previous prime is 101051113. The next prime is 101051201. The reversal of 101051172 is 271150101.

It is a happy number.

It is a super-3 number, since 3×101051172³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3328 + ... + 14600.

It is an arithmetic number, because the mean of its divisors is an integer number (5524260).

Almost surely, 2^101051172 is an apocalyptic number.

101051172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101051172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132582240).

101051172 is an abundant number, since it is smaller than the sum of its proper divisors (164113308).

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

101051172 is a wasteful number, since it uses less digits than its factorization.

101051172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11369 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 101051172 is about 10052.4212008849. The cubic root of 101051172 is about 465.7795871683.

The spelling of 101051172 in words is "one hundred one million, fifty-one thousand, one hundred seventy-two".