105101004078 has 48 divisors (see below), whose sum is σ = 260305483776. Its totient is φ = 30022468560.

The previous prime is 105101004077. The next prime is 105101004097. The reversal of 105101004078 is 870400101501.

105101004078 is a `hidden beast` number, since 1 + 0 + 510 + 100 + 40 + 7 + 8 = 666.

It is a super-2 number, since 2×105101004078² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105101004077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 522375 + ... + 695037.

It is an arithmetic number, because the mean of its divisors is an integer number (5423030912).

Almost surely, 2^105101004078 is an apocalyptic number.

105101004078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105101004078 is an abundant number, since it is smaller than the sum of its proper divisors (155204479698).

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

105101004078 is a wasteful number, since it uses less digits than its factorization.

105101004078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177509 (or 177506 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 105101004078 its reverse (870400101501), we get a palindrome (975501105579).

The spelling of 105101004078 in words is "one hundred five billion, one hundred one million, four thousand, seventy-eight".