100137942 has 24 divisors (see below), whose sum is σ = 228385560. Its totient is φ = 31622400.

The previous prime is 100137913. The next prime is 100137943. The reversal of 100137942 is 249731001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100137943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146059 + ... + 146742.

It is an arithmetic number, because the mean of its divisors is an integer number (9516065).

Almost surely, 2^100137942 is an apocalyptic number.

100137942 is an abundant number, since it is smaller than the sum of its proper divisors (128247618).

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

100137942 is a wasteful number, since it uses less digits than its factorization.

100137942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292828 (or 292825 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100137942 is about 10006.8947231396. The cubic root of 100137942 is about 464.3722086519.

Adding to 100137942 its reverse (249731001), we get a palindrome (349868943).

It can be divided in two parts, 10013 and 7942, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 100137942 in words is "one hundred million, one hundred thirty-seven thousand, nine hundred forty-two".