10542037248 has 90 divisors (see below), whose sum is σ = 31434509414. Its totient is φ = 3514005504.

The previous prime is 10542037171. The next prime is 10542037267. The reversal of 10542037248 is 84273024501.

It is a happy number.

10542037248 is a `hidden beast` number, since 1 + 0 + 542 + 0 + 3 + 72 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9225218304 + 1316818944 = 96048^2 + 36288^2 .

It is a super-2 number, since 2×10542037248² (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 an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 233461 + ... + 274932.

Almost surely, 2^10542037248 is an apocalyptic number.

10542037248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10542037248 is an abundant number, since it is smaller than the sum of its proper divisors (20892472166).

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

10542037248 is an frugal number, since it uses more digits than its factorization.

10542037248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508421 (or 508398 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

It can be divided in two parts, 1054 and 2037248, that added together give a palindrome (2038302).

The spelling of 10542037248 in words is "ten billion, five hundred forty-two million, thirty-seven thousand, two hundred forty-eight".