103377137273760 has 384 divisors, whose sum is σ = 375745852145664. Its totient is φ = 23401893150720.

The previous prime is 103377137273743. The next prime is 103377137273791. The reversal of 103377137273760 is 67372731773301.

It is a self number, because there is not a number n which added to its sum of digits gives 103377137273760.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243444984 + ... + 243869256.

It is an arithmetic number, because the mean of its divisors is an integer number (978504823296).

Almost surely, 2^{103377137273760} is an apocalyptic number.

103377137273760 is a gapful number since it is divisible by the number (10) 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 103377137273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187872926072832).

103377137273760 is an abundant number, since it is smaller than the sum of its proper divisors (272368714871904).

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

103377137273760 is a wasteful number, since it uses less digits than its factorization.

103377137273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424996 (or 424988 counting only the distinct ones).

The product of its (nonzero) digits is 16336404, while the sum is 57.

The spelling of 103377137273760 in words is "one hundred three trillion, three hundred seventy-seven billion, one hundred thirty-seven million, two hundred seventy-three thousand, seven hundred sixty".