10127236284 has 144 divisors (see below), whose sum is σ = 29459364480. Its totient is φ = 2901121920.

The previous prime is 10127236213. The next prime is 10127236297. The reversal of 10127236284 is 48263272101.

It is a happy number.

10127236284 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 7 + 23 + 628 + 4 = 666.

It is a super-2 number, since 2×10127236284² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4415442 + ... + 4417734.

It is an arithmetic number, because the mean of its divisors is an integer number (204578920).

Almost surely, 2^10127236284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127236284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14729682240).

10127236284 is an abundant number, since it is smaller than the sum of its proper divisors (19332128196).

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

10127236284 is a wasteful number, since it uses less digits than its factorization.

10127236284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10127236284 in words is "ten billion, one hundred twenty-seven million, two hundred thirty-six thousand, two hundred eighty-four".