102007270944 has 144 divisors (see below), whose sum is σ = 301673211840. Its totient is φ = 33906781440.

The previous prime is 102007270903. The next prime is 102007270961. The reversal of 102007270944 is 449072700201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×102007270944² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102007270899 and 102007270908.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2773314 + ... + 2809854.

It is an arithmetic number, because the mean of its divisors is an integer number (2094952860).

Almost surely, 2^102007270944 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 102007270944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150836605920).

102007270944 is an abundant number, since it is smaller than the sum of its proper divisors (199665940896).

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

102007270944 is an equidigital number, since it uses as much as digits as its factorization.

102007270944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36925 (or 36905 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 102007270944 in words is "one hundred two billion, seven million, two hundred seventy thousand, nine hundred forty-four".